GCD of 398, 692, 803, 938 Calculator

Given Input numbers are 398, 692, 803, 938

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 803

List of positive integer divisors of 803 that divides 803 without a remainder.

1, 11, 73, 803

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Greatest Common Divisior

We found the divisors of 398, 692, 803, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 692, 803, 938 is 1.

Therefore, GCD of numbers 398, 692, 803, 938 is 1

Given Input Data is 398, 692, 803, 938

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 398 is 2 x 199

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 803 is 11 x 73

Prime Factorization of 938 is 2 x 7 x 67

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(398, 692) = 137708

GCD(398, 692) = ( 398 x 692 ) / 137708

GCD(398, 692) = 275416 / 137708

GCD(398, 692) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 803

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 803) = 1606

GCD(2, 803) = ( 2 x 803 ) / 1606

GCD(2, 803) = 1606 / 1606

GCD(2, 803) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 938

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 938) = 938

GCD(1, 938) = ( 1 x 938 ) / 938

GCD(1, 938) = 938 / 938

GCD(1, 938) = 1

GCD of 398, 692, 803, 938 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 112, 928, 747, 126
• GCD of 997, 948, 164, 600
• GCD of 261, 903, 681, 991
• GCD of 469, 960, 873, 824
• GCD of 355, 764, 692, 939

1. What is the GCD of 398, 692, 803, 938?

GCD of 398, 692, 803, 938 is 1

2. Where do I get the detailed procedure to find GCD of 398, 692, 803, 938?

You can find a detailed procedure to find GCD of 398, 692, 803, 938 on our page.

3. How to find GCD of 398, 692, 803, 938 on a calculator?

You can find the GCD of 398, 692, 803, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.